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Finding the Fourth Proportional to 72,777, 109,165.50 and 29,031.72

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Solution

The fourth proportional to 72,777, 109,165.50 and 29,031.72 is: 43,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,777 : 109,165.50 = 29,031.72 : x
  2. Step 2: Convert to fraction form
    72,777/109,165.50 = 29,031.72/x
  3. Step 3: Cross multiply
    72,777x = 109,165.50 × 29,031.72
  4. Step 4: Simplify right side
    72,777x = 3,169,262,229.66
  5. Step 5: Solve for x
    x = 3,169,262,229.66/72,777
  6. Step 6: Final answer
    x = 43,547.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.